In one such order, company is supposed to make 50 toys in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of hemisphere. If the radius of the base of the cone is 21 cm and height is 28 cm, then (a) find the volume of 50 toys; b) find the ratio of the volume of hemisphere to the volume of cone.​

Answer:

(1)400000+70000+5000+300+20

(2)9000000+800000+40000+7000+200+10+5

(3)90000000+7000000+600000+40000+5000+300+10

(4)30000000+400000+50000+8000+90+4

Step-by-step explanation:

(A)475320

(B)97645310

(C)Ascending order:

475320,9847215,30458094,97645310

Please mark brainliest answer

Answer:

(i). Median Age= 58yrs

(ii). Value of x is 5.85 (approx. 6)

Step-by-step explanation:

Concept= Median and Mean of Grouped data

Given= Distribution Table and Mean

To find= Median and variable x

Explanation=

First we organize the data in our tabular form

Age Group    No. of people([tex]f_{i}[/tex])    C.F            Group Mark([tex]x_{i}[/tex])       [tex]f_{i} x_{i}[/tex]

15-25                   8                          8                           20             160

25-35                  10                         18                          30             180

35-45                  15                          33                          40            600

45-55                  25                         58                          50            1250

55-65                  40                         98                          60             2400

65-75                  24                          122                          70            1680

75-85                  18                            140                          80           1440

                         ∑[tex]f_{i}[/tex]=140                                                                   ∑[tex]f_{i} x_{i[/tex]=7710

(i). Median Age group of people enrolled in camps-

  n=140(cf) , n/2= 70

Thus this observation lies between the age group 55-65(median class).

Lower Class limit(l)= 55, Class size(h)= 10, Frequency of median class(f)= 40

Cumulative frequency of class preceding the median class is(c) 58.

Formula to find median of grouped data is Median= [tex]l+{(n/2-c)/f} * h[/tex]

equating values we get,  Median= 55+(70-58)/40  * 10= 55 +0.3*10= 55+3=58.  

Median Age= 58yrs

(ii). Find x, when x people were added in group 65-75 and Mean was 58.

If x people were  added in that group then number of people will become 24+x , Similarly the [tex]f_{i} x_{i}[/tex] value of 65-75 will become 1680+70x.

So now the new ∑[tex]f_{i} x_{i}[/tex]= 7710+70x .

Mean=∑[tex]f_{i} x_{i}[/tex]/∑[tex]f_{i}[/tex] , Equating the values we have ,

58= 7710+70x/140

=>8120=7710+70x

=>410=70x

=> x= 5.85 (approx. 6)

Therefor value of x is 5.85 (approx. 6)

Answer:

Given that , side of a solid cube (a) = 7 cm <br> Height of conical cavity i.e., cone h = 7 cm <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_X_C12_S01_034_S01.png" width="80%"> <br> Since, the height of conical cavity and the sode of cube is equal that means the conical cavity fit vertically in the cube. <br> Radius of conical cavity i.e., cone ,r =3 cm <br>

rArr

" "Diameter

= 2 xx r = 2xx 3 = 6 cm

<br> Since, the diameter is less than the side of a cube that means the base of a conical cavity is <br> not fit inhorizatal of cube . <br> Now, volume of cube

= (side)^(3) = a^(3) = (7) = 343 cm^(3)

<br> and volume of conical cavity i.e., cone

= (1)/(3) pi xx r^(2) xx h

<br>

= (1)/(3) xx (22)/(7) xx3xx 3 xx7

<br>

= 66 cm^(3)

<br>

therefore

Volume of remainig soild = Volume of cube - Volume of conical cavity <br>

= 343 - 66 = 277 cm^(3)

<br> Hence, the required volume of solid is

277 cm^(3)

1) ANSWER:- A computer consists of five functionally independent main parts input, memory, arithmetic logic unit (ALU), output and control unit.

2) ANSWER:- Input devices –Mouse, Keyboard, Touchpad, Scanners, Joystick, Webcam, etc. Output devices – Monitor, Printer, Headphones, Speakers, etc. Storage devices – Hard disk, DVD, etc. Internal components – Motherboard, CPU, RAM, etc.

3) ANSWER:-Essentially, information is the result of analyzing and interpreting pieces of data. Whereas data is the individual figures, numbers, or graphs, information is the perception of those pieces of knowledge. For example, a set of data could include temperature readings in a location over several years.

4) ANSWER;-In computing, an input device is a piece of equipment used to provide data and control signals to an information processing system, such as a computer or information appliance. Examples of input devices include keyboards, mouse, scanners, cameras, joysticks, and microphones.

5) ANSWER;-Any peripheral that accepts data from a computer and prints, projects, or reproduces it is known as an output device. The output may be audio, video, hard copy – printed paper, etc. Output devices convert the computer data to human understandable form.